Q. 14.2( 13 Votes )

If for any 2 &tim

Answer :

We have,

where In is the identity matrix of order 2.

and we know that-

A(adj A) =|A|In ...(2)

we can prove this as,

As we know that,
AA-1 = Identity matrix = I

A(adj A) =|A|In

Thus,

Comparing (1) and (2), we get,

|A| = 8


Hence, the value of |A| is 8.

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